Home
Class 12
MATHS
P is a point on the circle x^(2) + y^(2)...

P is a point on the circle `x^(2) + y^(2) = c^(2)`. The locus of the mid-points of chords of contact of P with respect to `x^(2)/a^(2) + y^(2)/b^(2) = 1,` is

A

`(x^(2)/a^(2) + y^(2)/b^(2))^(2) = x^(2)/a^(4) + y^(2)/b^(4)`

B

`(x^(2)/a^(2) + y^(2)/b^(2))^(2) = b^(2)(x^(2)/a^(4) + y^(2)/b^(4))`

C

`(x^(2)/a^(2) + y^(2)/b^(2))^(2) = a^(2)(x^(2)/a^(4) + y^(2)/b^(4))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|80 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

The chord of contact of (1,2) with respect to the circle x^(2)+y^(2)-4x-6y+2=0 is

Locus of P such that the chord of contact of P with respect to y^2= 4ax touches the hyperbola x^(2)-y^(2) = a^(2) as

The length of chord of contact of the point (3,6) with respect to the circle x^(2)+y^(2)=10 is

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

Through a fixed point (h,k) secants are drawn to the circle x^(2)+y^(2)=r^(2) . Show that the locus of the mid points of the position of the secants intercepted by the circle is x^(2)+y^(2)=hx+ky .

Locus of P such that the chord of contact of P with respect to y^2=4ax touches the hyperbola x^2-y^2=a^2

The locus of the mid-point of the chords of the hyperbola x^(2)-y^(2)=4 , that touches the parabola y^(2)=8x is

Length of chord of contact of point (4,4) with respect to the circle x^2+y^2-2x-2y-7=0 is

The locus of mid points of parts in between axes and tangents of ellipse x^2/a^2 + y^2/b^2 =1 will be

If from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0 , then the locus of the mid point of the chord has equation

OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Chapter Test
  1. if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord t...

    Text Solution

    |

  2. If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricit...

    Text Solution

    |

  3. If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^...

    Text Solution

    |

  4. If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

    Text Solution

    |

  5. The tangent at any point P on the ellipse meets the tangents at the ve...

    Text Solution

    |

  6. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

    Text Solution

    |

  7. The equation of the locus of the poles of normal chords of the ellipse...

    Text Solution

    |

  8. The locus of mid-points of focal chords of the ellipse (x^2)/(a^2)+(y^...

    Text Solution

    |

  9. The locus of a point whose polar with respect to the ellipse (x^2)/(a^...

    Text Solution

    |

  10. if the chord of contact of tangents from a point P to the hyperbola x...

    Text Solution

    |

  11. The locus of the poles of tangents to the auxiliary circle with respec...

    Text Solution

    |

  12. The locus of the poles of tangents to the director circle of the ellip...

    Text Solution

    |

  13. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

    Text Solution

    |

  14. If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes inte...

    Text Solution

    |

  15. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

    Text Solution

    |

  16. If C is centre of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the no...

    Text Solution

    |

  17. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. The tangent at point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 cu...

    Text Solution

    |

  20. If the lengths of major and semi-minor axes of an ellipse are 4 and sq...

    Text Solution

    |